Complete Question
Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89 z. Assume that the conditions for inference were met.calculate the p-value for Ellie's significance test
Answer:
The p-value is [tex]p-value = 0.0588[/tex]
Step-by-step explanation:
From the question we are told that
The percentage of senior citizens is p = 0.10
The sample size is [tex]n = 225[/tex]
The sample proportion is [tex]\^{p} = 0.14[/tex]
The test statistics is [tex] z \approx = 1.89[/tex]
The null hypothesis is [tex]H_o : p = 0.10[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.10[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 1.89 )[/tex]
From the z-table
[tex]P(Z > 1.89 ) = 0.029379[/tex]
=> [tex]p-value = 2 * 0.029379[/tex]
=> [tex]p-value = 0.0588[/tex]
Answer:
No because 0.06>0.05
Step-by-step explanation:
kahn
Divide. Reduce the awnser to lowest terms 5 2/3 divided by 3 1/9
Answer:
1 23/28
Step-by-step explanation:
turn both of your numbers into fractions: 17/3 and 28/9
to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:
17/3 x 9/28
you can simplify this by simplifying 9 to 3 and 3 to 1.
this means you now have 17 x 3/28
multiply 17 and 3 together since they are the numerators, you should get 51/28
now turn this into a mixed fraction: 1 23/28
Which expression uses the associative property to make it easier to evaluate
8(1/4 x 3/5)?
A. (8 x 5/3) 1/4
B. 4(1/8 x 3/5)
C. 8(3/5 x 1/4)
D. (8 x 1/4)3/4
Answer: D
Step-by-step explanation:
Using associative property, [tex]8(\frac{1}{4}*\frac{3}{5}) \\[/tex] can be evaluated as 6/5 = 1.2.
What is associative property?The associative property states that the sum or the product of three or more numbers does not change if they are grouped in a different way.
(A × B) × C = A × (B × C).
[tex]=8(\frac{1}{4}*\frac{3}{5}) \\\\=(8*\frac{1}{4}) *\frac{3}{5}\\ \\ = 2* \frac{3}{5} = \frac{6}{5} = 1.2[/tex]
Learn more about associative property here
https://brainly.com/question/5637942
#SPJ3
5. Solve for x using the model below* Enter your answer as a number
Answer:
Step-by-step explanation:
Each triangle = - x
There are 4 of them
They equal -4x
The circles all = 1
There are 3 circles on the left
They equal 3*1 = 3
There are eleven circles on the right.
-4x + 3 = 11 Subtract 3
-4x/-4 = 8 Divide by - 4
x = 8/-4
x = -2
If 4 − 7x is 5 less than 23, what is the value of 3x ?
A new dining room is being built in Carol’s home. In a scale drawing of the room, 1 inch represents LaTeX: 2\frac{1}{2}212feet. A sketch of the drawing is shown
Answer/Step-by-step explanation:
Area of the dinning room table:
Given that scale of the sketch is 1 in = 2½ ft
Length of the dinning room table on the sketch = 2 in
Actual length of dinning room table = 2 × 2½ = 5 ft
Width of the dinning room table on the sketch = 1 in
Actual width of dinning room table = 1 × 2½ = 2.5 ft
Area of dinning room table = length × width = 5 × 2.5 = 12.5 ft²
Area of the dinning room:
Given that scale of the sketch is 1 in = 2½ ft
Length of the dinning room on the sketch = 7⅕ in
Actual length of dinning room = 7⅕ × 2½ = 18 ft
Width of the dinning room on the sketch = 4⅘ in
Actual width of dinning room = 4⅘ × 2½ = 12 ft
Area of dinning room = length × width = 18 × 12 = 216 ft²
Area of the dinning room not covered by the table = area of the dinning room - area of the dinning room table
= 216 - 12.5 = 203.5 ft²
25 POINTS
Look at the image, read, and choose the correct option.
Monday, Feburary 7th Granada
Dia de la Independencia
Friday, Feburary 27th República Dominicana Dia de la Independencia
Tuesday, March 14th San Vicente y las Granadinas Dia de los Heroes
Sunday, March 17th Montserrat
Fiesta de San Patricio
Thursday, March 18 Aruba
Dia de la Bandera y del Himno nacional
¿Qué dia es el Día de la Independencia en Granada?
O Es el Viernes, 27 de Febrero
O Es el 7 Lunes de Febrero
O Es febrero, el viernes 27
O Es el lunes, 7 de febrero
Answer:
Es el lunes, 7 de febrero.
Step-by-step explanation: i took the test and got it right
Which best describes the solution set of the compound inequality below?
Answer:
All real numbers except x=1.
Order these numbers from least to greatest.
Answer:
Step-by-step explanation:
4,2,1,3
Solve the equation: |2x + 5| = 11.
Answer:
x = -8 and x = 3
Step-by-step explanation:
Split the equation into 2 possible cases:
2x + 5 = 11
2x + 5 = -11
Then, solve these 2 equations.
2x + 5 = 11
2x = 6
x = 3
2x + 5 = -11
2x = -16
x = -8
So, the 2 solutions are x = -8 and x = 3
An alligatoris 8 inches long at birth and grous 6 inches per year. Wirite an equation that represents the lengthy needs of an alligator that is years old
How long will the alligator be aher 5 years?
Answer:
6x+8
Step-by-step explanation:
38 inches. We write an equation for how much it grows each year, plus the original 8 inches. So, 6(5)+8=38
The office supply closet had 25,473 large paper clips, 13,648 medium paper clips, and 15,306 small paper clips. How many paper clips were in the closet?
Answer:
The answer is 54,427
Step-by-step explanation:
Add them up
Two companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 a month. Company B does not charge an upfront fee but charges $35 a month. After how many months will the two companies charge the same amount?
Answer:
After 5 months each company will charge the same amount
Step-by-step explanation:
Math Modeling
The situation raised in the question can be modeled as follows.
Company A charges $75 upfront (flat or fixed fee) plus $20 a month. Being x the number of months of subscription, the total charge Ca is:
Ca = 75 + 20x
Company B charges no upfront fees, and $35 a month. We model its charges Cb as:
Cb = 35x
We want to know the number of months needed to make both companies charge the same amount. We'll do that by equating Ca=Cb:
75 + 20x = 35x
Subtracting 20x:
75 = 35x - 20x
Swapping and simplifying:
15x = 75
Solving:
x=75 / 15
x=5
After 5 months each company will charge the same amount
Solve for 8. 0.5s +1 = 7 + 4.5s
Answer:
s=-1.5
Step-by-step explanation:
We need to isolate the variable.
1. Subtract 4.5s from both sides
2. We now have the equation -4s+1=7
3. Subtract 1 from both sides
4. -4s=6
5. Divide both sides by -4
6. The answer would be s=-1.5
answer for brainliest ! <3
Answer:
1: p=(2,4) q=(1,1) r=(5,2)
2 I am so sorry. the changing in the shape is not any transformation I've heard of before.
3:90 degree rotation (Counterclockwise.)
4: 180 degree rotation (doesn't matter which way.)
5: 90 degree rotation (clockwise)
6: Up 9 units, over 2 units to the right.
Hope this helps!!
The graph of a linear function is given below.
What is the zero of the function
A. -5
B.2/5
C.2
D.5/2
Answer:
A. - 5
Step-by-step explanation:
Since, line is intersecting x-axis at - 5, therefore zero of the function is - 5.
make -4 a fraction
Answer:
4/1
Step-by-step explanation:
like 1 is like 1 whole
Answer:
-16/4
Step-by-step explanation:
In this way it will be in fraction
-16/4
which means, -16÷4= -4
I will mark u as brainlest if you help me lots of points the one I choose was probably not right it was just right there
Answer:
2/5
Step-by-step explanation:
Why? Because probability is just possible values over total values, there is 4 red sections and 10 total sections, so the probability is 4/10 = 2/5.
Answer:
[tex]the \: poberbility \:is = \: \frac{number \: of \: red}{total \: number \: of \: color} = \frac{4}{10} = \frac{2}{5} [/tex]
which ordered pairs are solutions to the inequality y-3x<-4
(5,1)
(4,-2)
(-3,0)
(1,-1)
(0,-3)
Answer:
(5,1) (4,2)
Step-by-step explanation:
Kara has 5 exams scores 58,73,85,83, and 79 in her biology class. What score does she need on the final exam to have a mean grade of 70
Her final exam will be her 6th exam. To determine the her final exam score we can use this equation:
Mean = All scores/6
70 = (58 + 73 + 85 + 83 + 79 + x )/6 ⇒ x stands for the final exam mark
70 = 378 + x /6 ⇒ Multiple both sides by 6 to cancel it out
420 = 378 + x ⇒ Subtract 378 from both sides to isolate x
420 - 378 = x
42 = x
Therefore, she must get at least 42% on her final to maintain a 70% average.
8v=2(4v+2) show your work
Answer:
NO SOLUTION
Step-by-step explanation:
8v=8v+4
8v-8v=4
0=4
Therefore, NO SOLUTION
40 is 25% of what number?
Answer:
160
Step-by-step explanation:
Answer:
=160
Step-by-step explanation:
25% is 1/4 of a number so..
40 x 4= 160
Hope this helps (:
a spinner is split into eight wedges numbered 0-7
Answer:
The last one is 8
Step-by-step explanation:
I'm unsure of the question.
Which expression is equal to 2rad-28
Find the exact value of s in the given interval that has the given circular function value.
[pi/2, pi] ; sin s = square root 2 / 2
Answer:
[tex]\displaystyle s=\frac{3\pi}{4}[/tex]
Step-by-step explanation:
Trigonometric Values
We need to find the angle s in the interval [π/2,π] where:
[tex]\displaystyle \sin s=\frac{\sqrt{2}}{2}[/tex]
There are two possible angles that have the same sine value in the first rotation of s. Any angle on the first quadrant has the same sine as its supplementary angle in the second quadrant.
The first angle s whose sine is [tex]\frac{\sqrt{2}}{2}[/tex] is:
[tex]\displaystyle s=\frac{\pi }{4}[/tex]
The other angle is its supplementary angle:
[tex]\displaystyle s=\pi-\frac{\pi }{4}=\frac{3\pi}{4}[/tex]
Only this last angle lies on the required interval, thus:
[tex]\boxed{\displaystyle s=\frac{3\pi}{4}}[/tex]
If u answer this i will give your answer a like and help with anything u need!
Answer:
0 . 4 = 2 / 5
Step-by-step explanation:
Which kind of line ( solid or dashed) is used for < or > ?
I think it has to do with inequalities but not sure
QUESTION #2 unless you know how to a different one
Answer:
dashed lines are used for both < and >, solid lines are used for >= or <=
Step-by-step explanation:
Rick has 3 bills and 4 coins in his wallet.the coins and bills total $12.35.Rick has no half-dollars.what coins and bills does Tick have?
I messed up sorry I gave you the wrong answer just ignore this
Pleas help me!!!!!!!!!!!!!!!!!!!
Answer:
for 14).....ans: 0.01
Step-by-step explanation:
convert to a fraction,then convert to a decimal by dividing the numerator by the denominator.
hope this was useful!
HELP ASAP !!!! WILL MARK BRANLIEST !
A group of students is investigating whether wheels affect the force of friction. The students push two boxes each with the same force on a table. One box has wheels and the other does not have wheels. The distance traveled by each box is shown.
Experimental Observations
Student 1 Student 2 Student 3 Student 4
Distance traveled by box with wheels 24 cm 22 cm 20 cm 23 cm
Distance traveled by box without wheels 12 cm 14 cm 15 cm 13 cm
Which step should the students take next?
Make a hypothesis
Test another variable
Analyze the results
Share their conclusion
Answer: Yes wheels affect the force, with wheels it moves longer and faster without wheels it doesn't move as much and doesn't go fast.
So they should; Share their conclusion
Step-by-step explanation: This really ez
what is 5945 divided by 612
The quotient we get when 5945 is divided by 612 is 9.7140.
When a number is divided by any other number ,the result is called quotient or we can define quotient as how many times a number divides a certain number.
The quotient we get in division either may be a real whole number or in the form of decimals.
Factors - A number which divides a number completely without leaving any remainder is called factor of that number, Or we can say when a dividend is divided by divisor and if the remainder we get is zero than the divisor ids a factor of that dividend.
When we divide 5945 by 612 we get remainder as 333 .Using division algorithm we can extend the number using zeroes after decimals which results to get 9.7140 as a quotient.
Using the result we can conclude that 612 is not a factor of 5945.
When 5945 is divided by 612 the result is 9.7140.
Learn more about division here:
https://brainly.com/question/11840361
#SPJ6